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If Naomi decides that she will invest \$3,000 per year in a 6% annuity for the first ten years, \$6,000 for the next ten years, and \$9,000 for the next ten years, how much will she accumulate? Treat each ten year period as a separate annuity. After ten years of an annuity, then it will continue to grow at compound interest for the remaining years of the 30 years.

amount
= 3000(1.06^10 - 1)/.06(1.06)^20 + 6000(1.06^10 - 1)/.06(1.06)^10 + 9000(1.06^10 - 1)/.06
= 387073.72

another way:
amount = 3000(1.06^30 - 1)/.06 + 3000(1.06^20 - 1)/.06 + 3000(1.06^10 - 1)/.06
= 387073.72

Thank you sooooo much Reiny you are a blessing tonight.

himb uhihjuhou

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